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1030001120 = 255291391597
BaseRepresentation
bin111101011001001…
…001000111100000
32122210010110220122
4331121021013200
54102140013440
6250112255412
734344602501
oct7531110740
92583113818
101030001120
114894550a5
12248b41568
13135512825
149ab1aba8
156065a7b5
hex3d6491e0

1030001120 has 96 divisors (see below), whose sum is σ = 2536984800. Its totient is φ = 394684416.

The previous prime is 1030001107. The next prime is 1030001123. The reversal of 1030001120 is 211000301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1030001098 and 1030001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030001123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644162 + ... + 645758.

It is an arithmetic number, because the mean of its divisors is an integer number (26426925).

Almost surely, 21030001120 is an apocalyptic number.

1030001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268492400).

1030001120 is an abundant number, since it is smaller than the sum of its proper divisors (1506983680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030001120 is a wasteful number, since it uses less digits than its factorization.

1030001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1030001120 is about 32093.6305207124. The cubic root of 1030001120 is about 1009.9020000983.

Adding to 1030001120 its reverse (211000301), we get a palindrome (1241001421).

The spelling of 1030001120 in words is "one billion, thirty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 139 145 160 232 278 290 464 556 580 695 928 1112 1160 1390 1597 2224 2320 2780 3194 4031 4448 4640 5560 6388 7985 8062 11120 12776 15970 16124 20155 22240 25552 31940 32248 40310 46313 51104 63880 64496 80620 92626 127760 128992 161240 185252 221983 231565 255520 322480 370504 443966 463130 644960 741008 887932 926260 1109915 1482016 1775864 1852520 2219830 3551728 3705040 4439660 6437507 7103456 7410080 8879320 12875014 17758640 25750028 32187535 35517280 51500056 64375070 103000112 128750140 206000224 257500280 515000560 1030001120